L k = 100 N/m ell e 1.0 kg X = -0.5 m x = 0.0 m x = 0.5 m A block of mass 1.0 kg on a horizontal surface is attached to a horizontal spring of negligible mass and spring constant 100 N/m. The other end of the spring is attached to a wall, and there is negligible friction between the block and the horizontal surface. When the spring is unstretched, the block is located at x = 0 m. The block is then pulled to x = 0.5 m and released from rest so that the block-spring system oscillates between x = -0.5 m and x = 0.5 m, as shown in the figure. Which of the following descriptions about the system are correct? Select two answers. The kinetic energy of the block and the spring potential energy of the system at A x = 0.25 m are both half of the total mechanical energy of the system. The spring potential energy of the system at x = 0.25 m is nearly 3.13 J. The kinetic energy of the system at C x = 0.3 m is nearly 4.5 J. The sum of the spring potential energy of the system and the kinetic energy of the block at x = 0.4 m is nearly D 12.5 J.

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Spring Potential Energy

The potential energy is the energy possessed by a body by virtue of its position or the energy held by the object due to its position relative to other objects, its force like stresses, charge, and other factors affecting the particles of the body. The potential energy is the measure of the net work done by or on the body. The spring potential energy is the potential energy stored due to the deformation of an elastic spring and this elasticity is due to the stretched spring. The elasticity is the ability of a solid-state matter to come back to its equilibrium position or original position after any kind of external force is acted on it. It is also known as Elastic potential energy. The potential energy here is caused due to the displacement of the spring from its equilibrium position to another position and this potential energy is equal to the net work done due to the stretching of the spring. It also resembles the same mechanics of the oscillation of a simple pendulum, where due to the external force, the object moves from its equilibrium position to its maximum ends and the periodic motion continues till it comes back to the equilibrium position to rest.